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HandWiki. Point (Geometry). Encyclopedia. Available online: https://encyclopedia.pub/entry/36179 (accessed on 21 September 2026).
HandWiki. Point (Geometry). Encyclopedia. Available at: https://encyclopedia.pub/entry/36179. Accessed September 21, 2026.
HandWiki. "Point (Geometry)" Encyclopedia, https://encyclopedia.pub/entry/36179 (accessed September 21, 2026).
HandWiki. (2022, November 24). Point (Geometry). In Encyclopedia. https://encyclopedia.pub/entry/36179
HandWiki. "Point (Geometry)." Encyclopedia. Web. 24 November, 2022.
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In modern mathematics, a point refers usually to an element of some set called a space. More specifically, in Euclidean geometry, a point is a primitive notion upon which the geometry is built, meaning that a point cannot be defined in terms of previously defined objects. That is, a point is defined only by some properties, called axioms, that it must satisfy. In particular, the geometric points do not have any length, area, volume or any other dimensional attribute. A common interpretation is that the concept of a point is meant to capture the notion of a unique location in Euclidean space.
geometry
mathematics
References
- Dirac 1958, §15 The δ function, p. 58
- Gel'fand & Shilov 1968, Volume I, §§1.1, 1.3
- Schwartz 1950, p. 3
- Arfken & Weber 2000, p. 84
- Bracewell 1986, Chapter 5
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